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Computation of positive realizations of MIMO hybrid linear systems with delays using the state variable diagram method

Kaczorek T., Sajewski Ł.

Systems Science

2008

Vol. 34, no 1

5-13

The realization problem for 2D positive multi-input and multi-output (MIMO) linear hybrid systems with delays in state vector and input is addressed. A method based on the state variable diagram for finding positive realizations of a given proper transfer matrix is proposed. Sufficient conditions for the existence of a positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.